High School Pure Mathematics Fundamentals
High School Pure Mathematics Fundamentals
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Course Overview
Become a trained professional from the safety and comfort of your own home by taking High School Pure Mathematics Fundamentals . Whatever your situation and requirements, One Education can supply you with professional teaching, gained from industry experts, and brought to you for a great price with a limited-time discount.
One Education has been proud to produce an extensive range of best-selling courses, and High School Pure Mathematics Fundamentals is one of our best offerings. It is crafted specially to promote easy learning at any location with an online device. Each topic has been separated into digestible portions that can be memorised and understood in the minimum of time.
Teaching and training are more than just a job for the staff at One Education; we take pride in employing those who share our vision for e-learning and its importance in today’s society. To prove this, all learning materials for each course are available for at least one year after the initial purchase.
All of our tutors and IT help desk personnel are available to answer any questions regarding your training or any technical difficulties.
By completing High School Pure Mathematics Fundamentals, you will have automatically earnt an e-certificate that is industry-recognised and will be a great addition to your competencies on your CV.
Whatever your reason for studying High School Pure Mathematics Fundamentals, make the most of this opportunity from One Education and excel in your chosen field.
Please be aware that there are no hidden fees, no sudden exam charges, and no other kind of unexpected payments. All costs will be made very clear before you even attempt to sign up.
Course design
The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.
You are taught through a combination of
- Video lessons
- Online study materials
Will I receive a certificate of completion?
Upon successful completion, you will qualify for the UK and internationally-recognised CPD accredited certification. You can choose to make your achievement formal by obtaining your PDF Certificate at the cost of £9 and Hard Copy Certificate for £15.
Why study this course
It doesn’t matter if you are an aspiring professional or absolute beginner; this course will enhance your expertise and boost your CV with critical skills and an accredited certification attesting to your knowledge.
The High School Pure Mathematics Fundamentals is fully available to anyone, and no previous qualifications are needed to enrol. All One Education needs to know is that you are eager to learn and are over 16.
Course Curriculum
| Introduction | |||
| About Course | 00:02:00 | ||
| Quick Guide | 00:01:00 | ||
| Essential Revision-1 | |||
| Topics of Essential Revision – 1 | 00:00:00 | ||
| Negative numbers and operations on Integers | 00:14:00 | ||
| The rules of Indices in Algebra | 00:11:00 | ||
| Working with indices Part 1 | 00:10:00 | ||
| Working with indices Part 2 | 00:08:00 | ||
| Fractional Indices | 00:12:00 | ||
| What are Polynomials? | 00:07:00 | ||
| Writing statements in Algebraic Form | 00:06:00 | ||
| Simplification using BODMAS | 00:08:00 | ||
| Distributive Property | 00:07:00 | ||
| Addition of Algebraic expressions | 00:13:00 | ||
| Subtraction of Algebraic expressions | 00:12:00 | ||
| Multiplication of Algebraic Expressions Part 1 | 00:05:00 | ||
| Multiplication of Algebraic Expressions Part 2 | 00:05:00 | ||
| Multiplication of Algebraic Expressions Part 3 | 00:06:00 | ||
| Division of algebraic expressions Part 1 | 00:11:00 | ||
| Division of algebraic expressions Part 2 | 00:10:00 | ||
| Division of algebraic expressions Part 3 | 00:07:00 | ||
| Essential Revision-2 ( Different Methods Of Factorization) | |||
| Topics of Essential Revision – 2 | 00:00:00 | ||
| Factorization by method of common factor | 00:13:00 | ||
| Factorization by regrouping the terms | 00:10:00 | ||
| Factorization by difference of two squares | 00:11:00 | ||
| Factorization using identity (a + b) ² and (a – b) ² | 00:10:00 | ||
| Factorization using identity (a + b + c) ² | 00:05:00 | ||
| Factorization by middle term split Part 1 | 00:12:00 | ||
| Factorization by middle term split Part 2 | 00:09:00 | ||
| Simultaneous Linear Equations | |||
| Simultaneous Linear Equations | 00:07:00 | ||
| Graphical Method | 00:06:00 | ||
| Graphical method Continued | 00:11:00 | ||
| Elimination by substitution Method | 00:09:00 | ||
| Equating the coefficients Method | 00:11:00 | ||
| Cross Multiplication | 00:10:00 | ||
| Equations Reducible to Linear Equations-1 | 00:08:00 | ||
| Equations Reducible to Linear Equations-2 | 00:14:00 | ||
| Quadratic Equations | |||
| Introduction to Quadratic Equations | 00:05:00 | ||
| Solving Quadratic Equations by Factorization method | 00:09:00 | ||
| Writing in completed square form | 00:07:00 | ||
| Solving by completed square method | 00:08:00 | ||
| Sketching of Quadratic Graphs | 00:12:00 | ||
| Quadratic graphs using Transformations | 00:06:00 | ||
| Quadratic inequalities | 00:11:00 | ||
| Deriving Quadratic formula | 00:05:00 | ||
| Solving problems using Quadratic Formula | 00:06:00 | ||
| Nature of Roots Part – 1 | 00:05:00 | ||
| Nature of roots Part – 2 | 00:12:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Co-ordinate Geometry | |||
| Distance formula | 00:18:00 | ||
| Mid point formula | 00:05:00 | ||
| Gradient of a line | 00:11:00 | ||
| Graphing using gradient and y intercept | 00:03:00 | ||
| Some standard lines | 00:05:00 | ||
| Slope intercept form y = m x +c | 00:06:00 | ||
| Point slope form and two point form | 00:11:00 | ||
| Intersection of line and parabola | 00:10:00 | ||
| Past Papers Problems Part 1 | 00:09:00 | ||
| Past Papers Problems Part 2 | 00:11:00 | ||
| Past Papers Problems Part 3 | 00:09:00 | ||
| Past Papers Problems Part 4 | 00:12:00 | ||
| Past Papers Problems Part 5 | 00:12:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Sequence and Series | |||
| Sequence and series ( video) | 00:08:00 | ||
| Arithmetic Sequence | 00:10:00 | ||
| General term of an A.P. | 00:07:00 | ||
| Finding given term is which term | 00:05:00 | ||
| Writing sequence when two terms are known | 00:08:00 | ||
| Condition for three terms to be in A.P. | 00:05:00 | ||
| Sum to n terms of A.P. | 00:06:00 | ||
| Practice Problems 1 (A.P.) | 00:09:00 | ||
| Practice problems 2 (A.P.) | 00:07:00 | ||
| Practice problems 3 (A.P.) | 00:07:00 | ||
| Practice problems 4 (A.P.) | 00:11:00 | ||
| Geometric Progressions | 00:12:00 | ||
| Sum to n terms in G.P. | 00:14:00 | ||
| Sum to infinite Terms in G.P. | 00:13:00 | ||
| Practice Problems 1 (GP) | 00:15:00 | ||
| Practice Problems 2 (GP) | 00:12:00 | ||
| Practice Problems 3 (GP) | 00:07:00 | ||
| Practice Problems based on AP and GP both | 00:15:00 | ||
| Past papers problems 1 | 00:17:00 | ||
| Past papers problems 2 | 00:10:00 | ||
| Past papers problems 3 | 00:11:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Geometric Progressions – Resources | 00:00:00 | ||
| Binomial Theorem | |||
| What is Factorial? | 00:07:00 | ||
| n-choose –r problems | 00:07:00 | ||
| Properties of n – choose -r | 00:05:00 | ||
| Binomial Theorem for positive index | 00:20:00 | ||
| Expanding using Binomial Theorem | 00:11:00 | ||
| Finding the indicated term in the Binomial expansion | 00:11:00 | ||
| Finding the indicated term from end | 00:09:00 | ||
| Finding the coefficient for given exponent (index) of the variable | 00:09:00 | ||
| Finding the term independent of variable | 00:05:00 | ||
| Expanding in increasing and decreasing powers of x | 00:09:00 | ||
| Practice problems 1 | 00:12:00 | ||
| Practice Problems 2 | 00:09:00 | ||
| Practice problems 3 | 00:10:00 | ||
| Past papers problems 1 | 00:15:00 | ||
| Past Paper problems 2 | 00:13:00 | ||
| Past Paper problems 3 | 00:09:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Functions | |||
| What is Function? | 00:08:00 | ||
| Vertical Line Test | 00:04:00 | ||
| Value of a Function Graphically | 00:08:00 | ||
| Domain Range of a function Algebraically | 00:14:00 | ||
| Domain Range of a function Graphically | 00:07:00 | ||
| Even & Odd Functions | 00:07:00 | ||
| One to one Function | 00:05:00 | ||
| Composite Functions | 00:09:00 | ||
| How to draw Rational Functions- 1 | 00:05:00 | ||
| How to draw Rational Functions- 2 | 00:10:00 | ||
| Inverse of a function Algebraically | 00:05:00 | ||
| Inverse of a function Graphically | 00:09:00 | ||
| Practice Problems 1 | 00:16:00 | ||
| Practice Problems 2 | 00:11:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Derivatives | |||
| What is Derivative? | 00:08:00 | ||
| Derivation of formula for Derivative | 00:06:00 | ||
| Differentiation by definition or First Principle | 00:07:00 | ||
| Power Rule | 00:22:00 | ||
| Practice Problems on Power Rule 1 | 00:07:00 | ||
| Practice Problems on Power Rule 2 | 00:07:00 | ||
| Practice Problems on Power Rule 3 | 00:05:00 | ||
| Practice Problems on Power Rule 4 | 00:13:00 | ||
| Practice Problems on Power Rule 5 | 00:08:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Tangents and Normals | |||
| Tangents and Normals- Basics | 00:13:00 | ||
| Practice- Tangents and Normals Part 1 | 00:16:00 | ||
| Practice- Tangents and Normals Part 2 | 00:13:00 | ||
| Practice- Tangents and Normals Part 3 | 00:11:00 | ||
| Practice- Tangents and Normals Part 4 | 00:14:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Stationary Points & Curve Sketching | |||
| Stationary Points – Basics | 00:13:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 1 | 00:11:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 2 | 00:12:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 3 | 00:10:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Second Derivative Test (Maximum & Minimum Points) | |||
| Concavity-Basics | 00:02:00 | ||
| Concavity & Second Derivative | 00:08:00 | ||
| Second Derivative Test | 00:09:00 | ||
| Practice Problems on second derivative | 00:04:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 1 | 00:17:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 2 | 00:10:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 3 | 00:07:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 4 | 00:07:00 | ||
| Applications of Maxima and Minima Part 1 | 00:09:00 | ||
| Applications of Maxima and Minima Part 2 | 00:07:00 | ||
| Applications of Maxima and Minima Part 3 | 00:10:00 | ||
| Applications of Maxima and Minima Part 4 | 00:09:00 | ||
| Applications of Maxima and Minima Part 5 | 00:10:00 | ||
| Applications of Maxima and Minima Part 6 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 1 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 2 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 3 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 4 | 00:07:00 | ||
| Chain Rule | 00:12:00 | ||
| Rate of change part 1 | 00:05:00 | ||
| Rate of change part 2 | 00:10:00 | ||
| Rate of change part 3 | 00:07:00 | ||
| Past Paper Problems using chain rule -1 | 00:06:00 | ||
| Past Paper Problems using chain rule -2 | 00:07:00 | ||
| Past Paper Problems using chain rule – 3 | 00:07:00 | ||
| Past Paper Problems using chain rule – 4 | 00:04:00 | ||
| Downloadable Resources | 00:00:00 | ||
| Integration | |||
| What is Integration? | 00:12:00 | ||
| Practice Questions 1 | 00:06:00 | ||
| Practice Questions 2 | 00:09:00 | ||
| Practice Questions 3 | 00:09:00 | ||
| Fundamental Theorem of Calculus | 00:09:00 | ||
| What is Definite Integration? | 00:10:00 | ||
| Finding Definite Integration | 00:09:00 | ||
| Practice Questions on Definite Integration 1 | 00:10:00 | ||
| Practice Questions on Definite Integration 2 | 00:10:00 | ||
| Practice Questions on Definite Integration 3 | 00:15:00 | ||
| Area below x-axis | 00:12:00 | ||
| Practice Problems on Area below x-axis 1 | 00:11:00 | ||
| Practice Problems on Area below x-axis 2 | 00:13:00 | ||
| Practice Problems on Area below x-axis 3 | 00:09:00 | ||
| Practice Problems on Area below x-axis 4 | 00:07:00 | ||
| Area between two curves (Basics) | 00:15:00 | ||
| Practice Problems on Area between two curves 1 | 00:06:00 | ||
| Practice Problems on Area between two curves 2 | 00:13:00 | ||
| Practice Problems on Area between two curves 3 | 00:12:00 | ||
| Practice Problems on Area between two curves 4 | 00:10:00 | ||
| Practice Problems on Area between two curves 5 | 00:13:00 | ||
| The Reverse Chain Rule- Indefinite Integration | 00:06:00 | ||
| The Reverse Chain Rule- Definite Integration | 00:05:00 | ||
| Practice Problems on The Reverse Chain Rule | 00:09:00 | ||
| Improper Integrals | 00:06:00 | ||
| Volumes by Integration | 00:08:00 | ||
| Practice Problems on Volumes by Integration-1 | 00:04:00 | ||
| Practice Problems on Volumes by Integration-2 | 00:04:00 | ||
| Order Your Certificate | |||
| Order Your Certificate Now | 00:00:00 | ||
With a team of industry professionals producing and delivering our course content, you can be sure the skills and knowledge you learn are applicable to your career aspirations, whether that’s in management, administration or beyond.
